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Browsing by Author "Janson, Svante"

Now showing 1 - 4 of 4
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    An Exponential Bound for the Probability of a Specified Subgraph in a Random Graph
    (1988) Janson, Svante; Luczak, Tomasz; Rucinski, Andrzej
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    The J-index as a measure of nominal scale response agreement
    (1982) Janson, Svante; Vegelius, Jan
    Some characteristics of Hubert’s Г, as a measure of nominal scale response agreement, are shown, including the characteristic that in a contingency table with equal frequencies its value will normally not be zero. By making a slight modification of its definition, some of these characteristics can be eliminated. As another alternative, the J-index is suggested. It is closely related to Г but does not have the same problematic characteristics. Some asymptotic variance formulas for the J-index are given, together with a numerical example.
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    On the applicability of truncated component analysis based on correlation coefficients for nominal scales
    (1978) Janson, Svante; Vegelius, Jan
    The possibility of using component analysis for nominal data is discussed. Particularly, two nominal scale correlation coefficients are applicable, namely, Tschuprow’s coefficient and the J index. The reason is that they are E-correlation coefficients; that is, they satisfy the requirements of a scalar product between normalized vectors in a Euclidean space. Some characteristics of these coefficients are described. The contingency coefficient and Cramer’s V are shown not to be applicable in a component analysis. An example of a truncated component analysis on artificial nominal data is included with both the J index and Tschuprow’s coefficient.
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